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23429007 = 34725903
BaseRepresentation
bin101100101011…
…1111110001111
31122002022120000
41121113332033
521444212012
62154055343
7403100100
oct131277617
948068500
1023429007
1112252618
127a1a553
134b14124
14317c3a7
1520cbddc
hex1657f8f

23429007 has 30 divisors (see below), whose sum is σ = 40719888. Its totient is φ = 13385736.

The previous prime is 23428997. The next prime is 23429027. The reversal of 23429007 is 70092432.

It is not a de Polignac number, because 23429007 - 26 = 23428943 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23429027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1018 + ... + 6920.

Almost surely, 223429007 is an apocalyptic number.

23429007 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

23429007 is a deficient number, since it is larger than the sum of its proper divisors (17290881).

23429007 is an equidigital number, since it uses as much as digits as its factorization.

23429007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 23429007 is about 4840.3519500136. The cubic root of 23429007 is about 286.1439891446.

It can be divided in two parts, 234 and 29007, that added together give a square (29241 = 1712).

The spelling of 23429007 in words is "twenty-three million, four hundred twenty-nine thousand, seven".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 5903 17709 41321 53127 123963 159381 289247 371889 478143 867741 1115667 2603223 3347001 7809669 23429007